Question

How do you graph `f(x)=Cos( x + pi/4 )`?

Answer 1

See explanation.

Explanation:

`"Amplitude" = 1`

`"Period" = (2pi)/b = (360^@)/b`

`(360^@)/1 = 360^@ "/cycle"`

`"Phase Shift" = -b/c`

`-pi/4 * 1/1 = - 45^@` phase shift

Make a list of points for every `30^@`, like `pi/6`, `pi/3`, `pi/2`, until you reach `360^@`. Plot these points as you normally would for reference and then adjust each point `45^@` to the left.

A negative phase shift you'll move the plotted points to the left a positive phase shift adjusts the plotted points to the right.